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Finding the Fourth Proportional to 3,775.31, 5,663.76 and 1,142.97

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Solution

The fourth proportional to 3,775.31, 5,663.76 and 1,142.97 is: 1,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.31 : 5,663.76 = 1,142.97 : x
  2. Step 2: Convert to fraction form
    3,775.31/5,663.76 = 1,142.97/x
  3. Step 3: Cross multiply
    3,775.31x = 5,663.76 × 1,142.97
  4. Step 4: Simplify right side
    3,775.31x = 6,473,482.24
  5. Step 5: Solve for x
    x = 6,473,482.24/3,775.31
  6. Step 6: Final answer
    x = 1,714.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.